Finding the Third Proportional to 116,784 and 178,092

Step by Step Solution

1. Step 1: Write the proportion equation
   116,784 : 178,092 = 178,092 : x
2. Step 2: Convert to fraction form
   116,784/178,092 = 178,092/x
3. Step 3: Cross multiply
   116,784x = 178,092 × 178,092
4. Step 4: Simplify right side
   116,784x = 31,716,760,464
5. Step 5: Solve for x
   x = 31,716,760,464/116,784
6. Step 6: Final answer
   x = 271,584.81